LCM of 4 and 10 is the smallest number among all common multiples of 4 and 10. The first few multiples of 4 and 10 are (4, 8, 12, 16, 20, 24, . . . ) and (10, 20, 30, 40, 50, 60, 70, . . . ) respectively. There are 3 frequently used approaches to uncover LCM the 4 and 10 - by listing multiples, by division method, and also by element factorization.

You are watching: Least common multiple of 4 and 10

1. | LCM of 4 and 10 |

2. | List of Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM that 4 and 10 is 20.

**Explanation: **

The LCM of 2 non-zero integers, x(4) and also y(10), is the smallest confident integer m(20) the is divisible through both x(4) and also y(10) without any kind of remainder.

The approaches to discover the LCM of 4 and also 10 are defined below.

By prime Factorization MethodBy Listing MultiplesBy division Method### LCM that 4 and also 10 by element Factorization

Prime administer of 4 and also 10 is (2 × 2) = 22 and also (2 × 5) = 21 × 51 respectively. LCM that 4 and 10 have the right to be obtained by multiply prime determinants raised to your respective highest possible power, i.e. 22 × 51 = 20.Hence, the LCM that 4 and also 10 by element factorization is 20.

### LCM of 4 and 10 by Listing Multiples

To calculation the LCM that 4 and 10 through listing out the typical multiples, we deserve to follow the given listed below steps:

**Step 1:**list a few multiples that 4 (4, 8, 12, 16, 20, 24, . . . ) and 10 (10, 20, 30, 40, 50, 60, 70, . . . . )

**Step 2:**The common multiples indigenous the multiples that 4 and also 10 room 20, 40, . . .

**Step 3:**The smallest common multiple the 4 and 10 is 20.

∴ The least typical multiple the 4 and also 10 = 20.

### LCM the 4 and 10 by division Method

To calculation the LCM of 4 and also 10 by the department method, we will divide the numbers(4, 10) by their prime determinants (preferably common). The product of this divisors gives the LCM of 4 and also 10.

**Step 3:**continue the actions until only 1s are left in the critical row.

The LCM that 4 and 10 is the product of all prime numbers on the left, i.e. LCM(4, 10) by department method = 2 × 2 × 5 = 20.

**☛ additionally Check:**

## FAQs top top LCM that 4 and 10

### What is the LCM that 4 and 10?

The **LCM the 4 and also 10 is 20**. To find the LCM (least usual multiple) the 4 and 10, we require to discover the multiples of 4 and also 10 (multiples the 4 = 4, 8, 12, 16 . . . . 20; multiples the 10 = 10, 20, 30, 40) and also choose the smallest multiple the is precisely divisible by 4 and also 10, i.e., 20.

### What space the techniques to uncover LCM of 4 and also 10?

The generally used approaches to discover the **LCM of 4 and also 10** are:

### What is the Relation between GCF and LCM of 4, 10?

The complying with equation have the right to be offered to refer the relation in between GCF and LCM that 4 and also 10, i.e. GCF × LCM = 4 × 10.

### If the LCM the 10 and 4 is 20, discover its GCF.

LCM(10, 4) × GCF(10, 4) = 10 × 4Since the LCM the 10 and 4 = 20⇒ 20 × GCF(10, 4) = 40Therefore, the greatest usual factor (GCF) = 40/20 = 2.

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### Which of the following is the LCM of 4 and 10? 28, 20, 32, 2

The value of LCM the 4, 10 is the smallest usual multiple the 4 and also 10. The number to solve the given problem is 20.